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Part 1: Writing Expressions

Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
Translate the algebraic expression you created in Question 1 to a verbal expression.

Respuesta :

apologiabiology
we can just increase each by 1
6(3j+4+2j)

it translates to
j represents a number
6 times the sum of 3 times a number, 4, and 2 times a number
hopemikaelson145

Answer:

I will show you how to the whole thing

Step-by-step explanation:

Part One: Writing Expressions-3(4j+5+j)

3=$3 for the shark teeth

4= 4 times as fast as John

5= Shark teeth already collected

Sarah’s friend offers to pay her $3 for every shark tooth she finds on the beach. After collecting only five shark teeth, Sarah decides to share this opportunity with her friend John. Sarah can find shark teeth four times as fast as John, but she can earn even more money with his help.

Part Two: Writing Equivalent Expressions-

Commutative Property-

3(4j+5+j)

3(5+4j+j)

Distributive Property-

3(4j+5+j)

(3x4j)+(3x5)+j

The number I chose is 6.

The original equation:

3(4x6+5+6)=(4x6=24) 24+5+6=35

3x35=105

Commutative Property

3(5+4j+j)

3(5+4x6+6)=(4x6=24) 24+5+6=35

3x35=105

Distributive Property

(3x4j)+(3x5)+j

3(4x6)+3(5+6)=

(24x3)+(3x11)

72+33=105

Part Three: Finish the Story- How many shark teeth did Sarah find? 24 shark teeth  

How many shark teeth did John find? 6 shark teeth

How much money did Sarah earn? $105  

I hope this helped :)

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